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Finding the Fourth Proportional to 2,098.47, 3,147.30 and 1,004.16

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Solution

The fourth proportional to 2,098.47, 3,147.30 and 1,004.16 is: 1,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.47 : 3,147.30 = 1,004.16 : x
  2. Step 2: Convert to fraction form
    2,098.47/3,147.30 = 1,004.16/x
  3. Step 3: Cross multiply
    2,098.47x = 3,147.30 × 1,004.16
  4. Step 4: Simplify right side
    2,098.47x = 3,160,392.77
  5. Step 5: Solve for x
    x = 3,160,392.77/2,098.47
  6. Step 6: Final answer
    x = 1,506.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.